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3 years ago

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Put the equation 3x - y > 9 into slope-intercept form (y = mx + b) but keep the inequality. (Don't change the sign to equals

=).

2 answers:

Anni [7]3 years ago

7 0

Answer:

y greater . ...3x-9

Step-by-step explanation:

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ELEN [110]3 years ago

5 0

Answer:

y < 3x - 9

Step-by-step explanation:

Given

3x - y > 9 ( subtract 3x from both sides )

- y > - 3x + 9

Multiply through by - 1, reversing the symbol as a result of multiplying by a negative quantity.

y < 3x - 9 ← in slope- intercept form

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Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.

blsea [12.9K]

Answer:

a) Percentage of students scored below 300 is 1.79%.

b) Score puts someone in the 90th percentile is 638.

Step-by-step explanation:

Given : Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.

(a) If the average test score is 510 with a standard deviation of 100 points.

To find : What percentage of students scored below 300 ?

Solution :

Mean $\mu=510$ ,

Standard deviation $\sigma=100$

Sample mean $x=300$

Percentage of students scored below 300 is given by,

$P(Z\leq \frac{x-\mu}{\sigma})\times 100$

$=P(Z\leq \frac{300-510}{100})\times 100$

$=P(Z\leq \frac{-210}{100})\times 100$

$=P(Z\leq-2.1)\times 100$

$=0.0179\times 100$

$=1.79\%$

Percentage of students scored below 300 is 1.79%.

(b) What score puts someone in the 90th percentile?

90th percentile is such that,

$P(x\leq t)=0.90$

Now, $P(\frac{x-\mu}{\sigma} < \frac{t-\mu}{\sigma})=0.90$

$P(Z< \frac{t-\mu}{\sigma})=0.90$

$\frac{t-\mu}{\sigma}=1.28$

$\frac{t-510}{100}=1.28$

$t-510=128$

$t=128+510$

$t=638$

Score puts someone in the 90th percentile is 638.

5 0

3 years ago

The function f(x) is a cubic function and the zeros of f(x) are -6, -3 and 1. The

jarptica [38.1K]

Answer:

$P(x)=-5x^3-40x^2-45x+90$

Step-by-step explanation:

<u>Equation of a Polynomial</u>

Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:

$P(x)=a(x-x1)(x-x2)(x-x3)$

Where a is the leading coefficient.

We know the three roots of the polynomial -6, -3, and 1, thus:

$P(x)=a(x+6)(x+3)(x-1)$

Since the y-intercept of the polynomial is y=90 when x=0:

90=a(0+6)(0+3)(0-1)

90=a(6)(3)(-1)=-18a

Thus

a = 90/(-18) = -5

The polynomial is:

$P(x)=-5(x+6)(x+3)(x-1)$

We must write it in standard form, so we have to multiply all of the factors as follows:

$P(x)=-5(x^2+6x+3x+18)(x-1)$

$P(x)=-5(x^2+9x+18)(x-1)$

$P(x)=-5(x^3-x^2+9x^2-9x+18x-18)$

$P(x)=-5(x^3+8x^2+9x-18)$

$\boxed{P(x)=-5x^3-40x^2-45x+90}$

3 0

2 years ago

NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+121t

Alenkasestr [34]

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

$h(t)=-4.9t^2+121t+283$

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

$h(t)=0\implies-4.9t^2+121t+283=0$

Using the quadratic formula, the solution for our problem is

$\begin{gathered} t=\frac{-(121)\pm\sqrt{(121)^2-4(-4.9)(283)}}{2(-4.9)} \\ =\frac{121\pm142.083778...}{9.8} \\ =\frac{121+142.083778...}{9.8} \\ =26.8452834694... \end{gathered}$

The rocket splashes after 26.845 seconds.

The maximum of this function happens at the root of the derivative. Differentiating our function, we have

$h^{\prime}(t)=-9.8t+121$

The root is

$-9.8t+121=0\implies t=\frac{121}{9.8}=12.347$

Then, the maximum height is

$h(12.347)=1029.99$

1029.99 meters above sea level.

6 0

1 year ago

Luke has 48 books.He puts 7 books in a box.How many boxes can he fill?explain how you interpreted the remainder

Alex17521 [72]

48 books divided by 7 books per box. So since 7 can go into 48 6 times to make 42, the remainder is 6 books are left out. 6 boxes are filled. I interpreted the remainder by subtracting 42 from 48. And that's all I did. :)

I hope you like this answer and have a good night! :D

3 0

2 years ago

Read 2 more answers

What is the slope of the line that contains the points -2,7 and 2,3

Maurinko [17]

Answer:

slope = -1

Step-by-step explanation:

y2-y1 divided by x2-x1

3-7= -4

2-(-2) = 4

-4 divided by 4 = -1

8 0

3 years ago